Pith Number

pith:G67HS55Q

pith:2000:G67HS55QCFXGWC4H3NBHICAQDS

not attested not anchored not stored refs pending

$L^p$ version of a result by Rankin

Mathieu Dutour

arxiv:math/0009142 v2 · 2000-09-14 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G67HS55QCFXGWC4H3NBHICAQDS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:05:38.293585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37be7977b0116e6b0b87db427408101c92e1044a5875d581cc1dbbcc7f32a466

Aliases

arxiv: math/0009142 · arxiv_version: math/0009142v2 · doi: 10.48550/arxiv.math/0009142 · pith_short_12: G67HS55QCFXG · pith_short_16: G67HS55QCFXGWC4H · pith_short_8: G67HS55Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/G67HS55QCFXGWC4H3NBHICAQDS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 37be7977b0116e6b0b87db427408101c92e1044a5875d581cc1dbbcc7f32a466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86fa13e024a2963ff54bc88ed81e9741ec67bf6e94625df4f162c4fbc90a8df0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2000-09-14T08:49:59Z",
    "title_canon_sha256": "29e47daa56f3583b2ab0b579848ea38f2e5f20fd4b2008be4ed7aa24d878574c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009142",
    "kind": "arxiv",
    "version": 2
  }
}